NDLI: Lipschitzianity of optimal trajectories for the Bolza optimal control problem

Content Provider	Springer Nature Link
Author	Frankowska, H. Marchini, E. M.
Copyright Year	2006
Abstract	In this paper we investigate Lipschitz continuity of optimal solutions for the Bolza optimal control problem under Tonelli’s type growth condition. Such regularity being a consequence of normal necessary conditions for optimality, we propose new sufficient conditions for normality of state-constrained nonsmooth maximum principles for absolutely continuous optimal trajectories. Furthermore we show that for unconstrained problems any minimizing sequence of controls can be slightly modified to get a new minimizing sequence with nice boundedness properties. Finally, we provide a sufficient condition for Lipschitzianity of optimal trajectories for Bolza optimal control problems with end point constraints and extend a result from (J. Math. Anal. Appl. 143, 301–316, 1989) on Lipschitzianity of minimizers for a classical problem of the calculus of variations with discontinuous Lagrangian to the nonautonomous case.
Starting Page	467
Ending Page	492
Page Count	26
File Format	PDF
ISSN	09442669
Journal	Calculus of Variations and Partial Differential Equations
Volume Number	27
Issue Number	4
e-ISSN	14320835
Language	English
Publisher	Springer-Verlag
Publisher Date	2006-08-16
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Optimal control Calculus of variations Bolza problem Lipschitzian regularity Normality of the maximum principle Mathematical and Computational Physics Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

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